101201212101 has 16 divisors (see below), whose sum is σ = 152277687360. Its totient is φ = 59219099520.

The previous prime is 101201212093. The next prime is 101201212103. The reversal of 101201212101 is 101212102101.

It is not a de Polignac number, because 101201212101 - 2³ = 101201212093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52873240 + ... + 52875153.

It is an arithmetic number, because the mean of its divisors is an integer number (9517355460).

Almost surely, 2^101201212101 is an apocalyptic number.

101201212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201212101 is a deficient number, since it is larger than the sum of its proper divisors (51076475259).

101201212101 is a wasteful number, since it uses less digits than its factorization.

101201212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105748436.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101201212101 its reverse (101212102101), we get a palindrome (202413314202).

Subtracting 101201212101 from its reverse (101212102101), we obtain a square (10890000 = 3300²).

It can be divided in two parts, 10120 and 1212101, that added together give a palindrome (1222221).

The spelling of 101201212101 in words is "one hundred one billion, two hundred one million, two hundred twelve thousand, one hundred one".